Title :
Exponential Stabilization of Neural Networks With Various Activation Functions and Mixed Time-Varying Delays
Author :
Phat, V.N. ; Trinh, H.
Author_Institution :
Inst. of Math., Vietnam Acad. of Sci. & Technol., Hanoi, Vietnam
fDate :
7/1/2010 12:00:00 AM
Abstract :
This paper presents some results on the global exponential stabilization for neural networks with various activation functions and time-varying continuously distributed delays. Based on augmented time-varying Lyapunov-Krasovskii functionals, new delay-dependent conditions for the global exponential stabilization are obtained in terms of linear matrix inequalities. A numerical example is given to illustrate the feasibility of our results.
Keywords :
Lyapunov methods; asymptotic stability; delays; linear matrix inequalities; neurocontrollers; transfer functions; Lyapunov-Krasovskii function; activation functions; exponential stability; linear matrix inequalities; mixed time-varying delays; neural networks; Linear matrix inequalities; Lyapunov function; mixed delay; neural networks; stabilization; Algorithms; Animals; Computer Simulation; Humans; Neural Networks (Computer); Nonlinear Dynamics; Time Factors;
Journal_Title :
Neural Networks, IEEE Transactions on
DOI :
10.1109/TNN.2010.2049118